Algebraische Zahlentheorie

Abstract

Algebraic Number Theory is an area of Mathematics that has a legendary history and lies at the interface of Algebra and Number Theory. The last four decades of the last century witnessed rapid developments that led to connections with other areas such as Algebraic Geometry, Representation Theory, Harmonic Analysis, Iwasawa theory, to mention a few. In the last two decades, emergent areas such as $p$-adic Analysis, $p$-adic Geometry ($p$ is a prime number) led to additional new facets. More recent developments in Arithmetic Geometry via Perfectoid Spaces and other emerging areas have added newer facets. The lectures in this workshop present current developments in these diverse areas.